To the nearest percent, what was the percent increase in Myles's music library after purchasing additional songs?

To determine the percent increase in Myles's music library after the purchase of additional songs, the initial size of the library and the number of songs added must be known. The formula for percent increase is given by:

[

\text{Percent Increase} = \left( \frac{\text{New Amount} - \text{Original Amount}}{\text{Original Amount}} \right) \times 100

]

Using this formula, calculate the new amount by adding the additional songs to the original amount. After evaluating the differencing and dividing by the original number, multiplying by 100 converts this fraction into a percentage.

If the process results in a percent increase that rounds to 16%, this is then recognized as a 16% increase from the original library size to the new total. This calculation indicates the relative growth in Myles's collection, reflecting that for every 100 songs originally owned, there is now an additional 16 songs, affirming that the music library has expanded considerably.

Therefore, the conclusion that the percent increase is 16% effectively communicates the growth in Myles's collection, making it the correct solution to the question asked.